Log Rotation & Webalizer/Analog

I have been wanting to create my own log rotation settings for a while now. Very few customers of mine have even a knowledge of what a raw log is and could care less about it so by default I want logs to be deleted as soon as they can be. I will setup custom logs for users who want raw logs.

My main question is, does anyone know exactly how webalizer and analog stats programs work in cpanel? I don't want my log rotation to mess webalizer up. How often can I delete the logs without messing up webalizer?